The capacity of
water tank is 200 kn
kilotitres .On
the first day 84 kilolitres 950
lifter of Water was
drained out.
How much
water remained in the tank ? (Express in Litre)
Answers
Given that, The capacity of water tank is 200 kilolitres .On the first day 84 kilolitres 950 liter of Water was drained out .
Exigency To Find : The Remained Water in tank ??
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀¤ Finding out The Remained Water in tank :
Given that ,
The capacity of water tank is 200 kilolitres .
⠀⠀⠀⠀⠀Converting the units from kilolitres to litres :
\begin{gathered}\qquad \dashrightarrow \sf Capacity_{(Tank)} \:=\: 200 \:kilolitres \: \:\\\\\qquad \dashrightarrow \sf Capacity_{(Tank)} \:=\: 200 \:\times 1000 \: \:litres \:\qquad \:\:\bigg\lgroup \sf{ 1 \:kilolitres \:=\:1000 \:litres}\bigg\rgroup\:\\\\\qquad \dashrightarrow \sf Capacity_{(Tank)} \:=\: 200000 \:litres \: \:\\\\\qquad \dashrightarrow \underline {\boxed{\pmb{\frak { \purple{ Capacity_{(Tank)} \:=\: 200000 \:litres \: \:\:\:}}}}}\\\\\end{gathered}
⇢Capacity
(Tank)
=200kilolitres
⇢Capacity
(Tank)
=200×1000litres
⎩
⎪
⎪
⎪
⎧
1kilolitres=1000litres
⎭
⎪
⎪
⎪
⎫
⇢Capacity
(Tank)
=200000litres
⇢
Capacity
(Tank)
=200000litres
Capacity
(Tank)
=200000litres
⠀⠀⠀⠀⠀AND ,
On the first day 84 kilolitres 950 liter of Water was drained out .
⠀⠀⠀⠀⠀Converting the units from kilolitres to litres :
⇢Drainedwater
(Tank)
=84kilolitres+950litres
⇢Drainedwater
(Tank)
=84×1000litres+950litres
⎩
⎪
⎪
⎪
⎧
1kilolitres=1000litres
⎭
⎪
⎪
⎪
⎫
⇢Drainedwater
(Tank)
=84000litres+950litres
⇢Drainedwater
(Tank)
=84950litres
⇢
Drainedwater
(Tank)
=84950litres
Drainedwater
(Tank)
=84950litres
As , We know that ,
Remained
(Water)
=Capacity
(Tank)
−Drainedwater
⇢Remained
(Water)
=Capacity
(Tank)
−Drainedwater
(Tank)
⋆NowBySubstitutingtheknownValues:
⇢Remained
(Water)
=Capacity
(Tank)
−Drainedwater
(Tank)
⇢Remained
(Water)
=200000litres−84950litres
⇢Remained
(Water)
=115050litres
⇢
Remained
(Water)
=115050litres
Remained
(Water)
=115050litre
Hence,TheRemainedwaterintankis
115050litres
115050litres.
Step By Step Explanation :
Converting into litres we get :-